Finite undirected graphs which are not reconstructible from their large cardinality subgraphs. (English) Zbl 0759.05067

Summary: For any integer \(n_ 0\) and any real \(q\), \(0<q<1\), we exhibit two nonisomorphic graphs on \(n>n_ 0\) vertices having the same collections of \(m\)-vertex subgraphs where \(m\) is the integral part of \(q\cdot n\).


05C60 Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
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